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Finding the Third Proportional to 3,246,771,768 and 5,019,256,687

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Solution

The third proportional to 3,246,771,768 and 5,019,256,687 is: 7,759,380,544.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246,771,768 : 5,019,256,687 = 5,019,256,687 : x
  2. Step 2: Convert to fraction form
    3,246,771,768/5,019,256,687 = 5,019,256,687/x
  3. Step 3: Cross multiply
    3,246,771,768x = 5,019,256,687 × 5,019,256,687
  4. Step 4: Simplify right side
    3,246,771,768x = 25,192,937,689,994,215,424
  5. Step 5: Solve for x
    x = 25,192,937,689,994,215,424/3,246,771,768
  6. Step 6: Final answer
    x = 7,759,380,544.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.